GCD of 560, 310, 385, 514 Calculator

Given Input numbers are 560, 310, 385, 514

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 560, 310, 385, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 310, 385, 514 is 1.

Therefore, GCD of numbers 560, 310, 385, 514 is 1

Given Input Data is 560, 310, 385, 514

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 514 is 2 x 257

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(560, 310) = 17360

GCD(560, 310) = ( 560 x 310 ) / 17360

GCD(560, 310) = 173600 / 17360

GCD(560, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 385

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(10, 385) = 770

GCD(10, 385) = ( 10 x 385 ) / 770

GCD(10, 385) = 3850 / 770

GCD(10, 385) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 514

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 514) = 2570

GCD(5, 514) = ( 5 x 514 ) / 2570

GCD(5, 514) = 2570 / 2570

GCD(5, 514) = 1

GCD of 560, 310, 385, 514 is 1

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• GCD of 154, 452, 198, 876
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1. What is the GCD of 560, 310, 385, 514?

GCD of 560, 310, 385, 514 is 1

2. Where do I get the detailed procedure to find GCD of 560, 310, 385, 514?

You can find a detailed procedure to find GCD of 560, 310, 385, 514 on our page.

3. How to find GCD of 560, 310, 385, 514 on a calculator?

You can find the GCD of 560, 310, 385, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.